Search a number
-
+
31021745700 = 2235211591371163
BaseRepresentation
bin11100111001000010…
…100100011000100100
32222001221212221222110
4130321002210120210
51002013031330300
622130131401020
72145514326201
oct347102443044
988057787873
1031021745700
1112179a6a770
126019153170
132c04c7715a
141704016ca8
15c186a3550
hex7390a4624

31021745700 has 288 divisors, whose sum is σ = 100388574720. Its totient is φ = 7332684800.

The previous prime is 31021745681. The next prime is 31021745723. The reversal of 31021745700 is 754712013.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26673319 + ... + 26674481.

It is an arithmetic number, because the mean of its divisors is an integer number (348571440).

Almost surely, 231021745700 is an apocalyptic number.

31021745700 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31021745700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50194287360).

31021745700 is an abundant number, since it is smaller than the sum of its proper divisors (69366829020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31021745700 is a wasteful number, since it uses less digits than its factorization.

31021745700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The spelling of 31021745700 in words is "thirty-one billion, twenty-one million, seven hundred forty-five thousand, seven hundred".